45781280 has 48 divisors (see below), whose sum is σ = 109267704. Its totient is φ = 18124800.

The previous prime is 45781273. The next prime is 45781319. The reversal of 45781280 is 8218754.

It can be written as a sum of positive squares in 4 ways, for example, as 43507216 + 2274064 = 6596^2 + 1508^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 45781280.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14744 + ... + 17576.

Almost surely, 2^45781280 is an apocalyptic number.

45781280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45781280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54633852).

45781280 is an abundant number, since it is smaller than the sum of its proper divisors (63486424).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

45781280 is a wasteful number, since it uses less digits than its factorization.

45781280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2949 (or 2941 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 35.

The square root of 45781280 is about 6766.1865182686. The cubic root of 45781280 is about 357.7359975331.

The spelling of 45781280 in words is "forty-five million, seven hundred eighty-one thousand, two hundred eighty".